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A uniformly difference scheme of singular perturbation problem for a semilinear ordinary differential equation with mixed boundary value condition

โœ Scribed by Bai Qingyuan; Lin Pengcheng

Publisher
Springer
Year
1996
Tongue
English
Weight
362 KB
Volume
17
Category
Article
ISSN
0253-4827

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โœฆ Synopsis

In the paper, the method of separating singularity is applied to stud), the un{formly difference scheme of a singular perturbation problem for a semilinear ordinar)' differential equation with mixed boundary value condition. The uniform convergence on small parameter e of order one for an II'in type difference scheme constructed is proved. At the end of the paper, a numerical example is given. The computing results coincide with the theoretical analysis.

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โœ Liu Guoqing; Su Yucheng ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Springer ๐ŸŒ English โš– 377 KB

In this paper, we first consider the singularly perturbed, boundary value problem for the fourth-order elliptic differential equation, establish the priori estimation of the solution of the continuous problem. Then, we present an exponential fitted difference scheme and discuss the solution properti